A coin is tossed 5 times, Probability of getting
head exactly 3 times is:

• coin tossed 5 times so 2*2*2*2*2=32
  getting heads only in 3 times=HHHHH,HHHHT,HHHTT,HHTTH,HTTHH,TTHHH,THHHT,THHTH,THTHH,HTHTH=10
  PROBABILITY=10/32=0.3125.
  
  
• 13 years agoHelpfull: Yes(4) No(0)
• ((1/2)^3 * (1/2)^2)/10=10/32
  total possible outcomes=10
• 13 years agoHelpfull: Yes(1) No(3)
• 3/10........Out of 10 outcomes 3 must be heads
  
• 13 years agoHelpfull: Yes(1) No(2)
• probability for head=1/2
  probability for red king=2/52
  thus ans is=(1/2)*(2/52)=1/52
  
• 13 years agoHelpfull: Yes(1) No(0)
• TTHHH,THTHH,THHTH,THHHT,HTTHH,HTHTH,HTHHT,HHTTH,HHTHT,HHHTT=10
  10/32
• 13 years agoHelpfull: Yes(1) No(0)
• This problem can be solved in two different ways
  1) By using factorial
  2) By using binomial distribution.
  Let us discuss the first way
  
  When a coin is tossed 5 times, the total number of outcomes is 2^5 = 32
  A coin is having two sides head and tail, getting three of the same type among the five is 5!/3!*2!= 5*4*3*2*1/3*2*1*2*1= 10 (HHHTT, can be arranged in 10 ways)
  so probability is 10/32
  
  2) Second technique by using binomial distribution
  p(x)= (Ncx)p^x q^n-x (n combination x * p power x * q power n-x
  where p= probability of getting head= 1/2, q= probaility of not getting head =1/2, n = number of times a coin is tossed =5,
  Probability of getting exactly 3 head= 5c3(1/2)^3*(1/2)^2= 10*1/8*1/4 =10/32
  
  With regards
  Asif Pazheri
  9947238812
  
• 10 years agoHelpfull: Yes(0) No(0)